Michael K. -H. Kiessling, A. Shadi Tahvildar-Zadeh
Published 2007-08-13, updated 2009-02-06Version 4
The Cauchy problem is revisited for the so-called relativistic Vlasov-Poisson system in the attractive case. Global existence and uniqueness of spherical classical solutions is proved under weaker assumptions than previously used. A new class of blowing up solutions is found when these conditions are violated. A new, non-gravitational physical vindication of the model which (unlike the gravitational one) is not restricted to weak fields, is also given.
Comments: Preprint of published version. Several typos in the previous version have been corrected
Journal: Indiana Univ. Math. J. vol. 57, pp. 3177-3207 (2009)
Optimal $\mathfrak{L}^β$-Control for the Global Cauchy Problem of the Relativistic Vlasov-Poisson System
The Cauchy problem and Hadamard's example in the ring
Global existence and nonlinear stability for the relativistic Vlasov-Poisson system in the gravitational case
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